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Séminaire du département Automatique du 19/07/2018 à 14h00

 

ISS Lyapunov Functions for Cascade Switched Systems with Application to Sampled-Data Control

Intervenant : Aneel TANWANI, LAAS-CNRS

Lieu : B208 Gipsa-lab (salle des séminaires Automatique)

 

Résumé : In this talk, input-to-state stability (ISS) of switched systems is addressed for switched systems where the individual subsystems are connected in a serial cascade configuration, and the states are allowed to reset at switching times. An ISS Lyapunov function is associated to each of the two blocks connected in cascade, which are then used to construct a Lyapunov function corresponding to each subsystem. The overall hybrid system is analyzed by constructing a newly constructed ISS-Lyapunov function and deriving lower bounds on the average dwell-time. The particular case of linear subsystems and quadratic Lyapunov functions is presented as an example. The tools are also used for studying the observer-based feedback stabilization of a switched nonlinear system where the outputs and control inputs are time-sampled. We design sampling algorithms based on the proposed Lyapunov functions and analyze the stability of the resulting closed-loop system.


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